Dualities in population genetics: A fresh look with new dualities

Gioia Carinci, Cristian Giardinà, Claudio Giberti and Frank Redig

Stochastic Processes and their Applications, 2015, vol. 125, issue 3, 941-969

Abstract: We apply our general method of duality, introduced in Giardinà et al. (2007), to models of population dynamics. The classical dualities between forward and ancestral processes can be viewed as a change of representation in the classical creation and annihilation operators, both for diffusions dual to coalescents of Kingman’s type, as well as for models with finite population size.

Keywords: Mathematical population genetics; Duality; Wright–Fisher model; Moran model; Heisenberg algebra; SU(1,1) algebra (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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DOI: 10.1016/j.spa.2014.10.009

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